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WEIGHTED ESTIMATES FOR SOLUTIONS OF THE ∂ -EQUATION FOR LINEALLY CONVEX DOMAINS OF FINITE TYPE AND APPLICATIONS TO WEIGHTED BERGMAN PROJECTIONS

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCHARPENTIER, Philippe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorDUPAIN, Y
hal.structure.identifierDépartement de Mathématiques et Informatique
dc.contributor.authorMOUNKAILA, M
dc.date.accessioned2024-04-04T03:14:51Z
dc.date.available2024-04-04T03:14:51Z
dc.date.created2016-05-03
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194099
dc.description.abstractEnIn this paper we obtain sharp weighted estimates for solutions of the ∂-equation in a lineally convex domains of finite type. Precisely we obtain estimates in spaces of the form L p (Ω,δ γ), δ being the distance to the boundary, with gain on the index p and the exponent γ. These estimates allow us to extend the L p (Ω,δ γ) and lipschitz regularity results for weighted Bergman projection obtained in [CDM14b] for convex domains to more general weights.
dc.language.isoen
dc.title.enWEIGHTED ESTIMATES FOR SOLUTIONS OF THE ∂ -EQUATION FOR LINEALLY CONVEX DOMAINS OF FINITE TYPE AND APPLICATIONS TO WEIGHTED BERGMAN PROJECTIONS
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1605.02443
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-01311050
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01311050v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CHARPENTIER,%20Philippe&DUPAIN,%20Y&MOUNKAILA,%20M&rft.genre=preprint


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